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Finding the Fourth Proportional to 347,271.64, 519,486.42 and 262,400.92

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Solution

The fourth proportional to 347,271.64, 519,486.42 and 262,400.92 is: 392,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,271.64 : 519,486.42 = 262,400.92 : x
  2. Step 2: Convert to fraction form
    347,271.64/519,486.42 = 262,400.92/x
  3. Step 3: Cross multiply
    347,271.64x = 519,486.42 × 262,400.92
  4. Step 4: Simplify right side
    347,271.64x = 136,313,714,535.51
  5. Step 5: Solve for x
    x = 136,313,714,535.51/347,271.64
  6. Step 6: Final answer
    x = 392,527.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.